Skip to main content
Log in

Non-existence of axially symmetric massive scalar fields

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

It has been observed that for the axially symmetric Einstein-Rosen metric, the stress-tensor of a scalar meson field associated with meson of rest mass μ cannot be the source term for generating gravitation. The above result also holds even when this meson field is coupled with an electromagnetic field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bergmann, O., Leipnik, R.: Phys. Rev.107, 1157 (1957).

    Google Scholar 

  2. Buchdahl, H.: Phys. Rev.115, 1325 (1959).

    Google Scholar 

  3. Bramhachary, R. L.: Progr. Theoret. Phys.23, 749 (1960).

    Google Scholar 

  4. Stephenson, G.: Proc. Cambridge Phil. Soc.58, part 3, 521 (1962).

    Google Scholar 

  5. Janis, A. I., Newman, E., Winicour, J.: Phys. Letters20, 878 (1968).

    Google Scholar 

  6. Penney, R.: Phys. Rev.174, 1578 (1968).

    Google Scholar 

  7. —— Phys. Rev.182, 1383 (1969).

    Google Scholar 

  8. Gautreau, R.: Nuovo Cimento B, Series X,62, 360 (1969).

    Google Scholar 

  9. Misra, R. M., Pandey, D. B.: Commun. math. Phys.20, 324 (1971).

    Google Scholar 

  10. Rao, J. R., Roy, A. R., Tiwari, R. N.: Ann. Phys.69, no. 1, 473 (1972).

    Google Scholar 

  11. Corson, E. M.: Introduction to tensors, spinors and relativistic wave equations, p. 96. London and Glasgow: Blackie 1953.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roy, A.R., Rao, J.R. Non-existence of axially symmetric massive scalar fields. Commun.Math. Phys. 27, 162–166 (1972). https://doi.org/10.1007/BF01645619

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01645619

Keywords

Navigation